g0701_0800.s0715_range_module.RangeModule Maven / Gradle / Ivy
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Java-based LeetCode algorithm problem solutions, regularly updated
package g0701_0800.s0715_range_module;
// #Hard #Design #Ordered_Set #Segment_Tree #2022_03_24_Time_35_ms_(98.62%)_Space_50_MB_(97.66%)
/**
* 715 - Range Module\.
*
* Hard
*
* A Range Module is a module that tracks ranges of numbers. Design a data structure to track the ranges represented as **half-open intervals** and query about them.
*
* A **half-open interval** `[left, right)` denotes all the real numbers `x` where `left <= x < right`.
*
* Implement the `RangeModule` class:
*
* * `RangeModule()` Initializes the object of the data structure.
* * `void addRange(int left, int right)` Adds the **half-open interval** `[left, right)`, tracking every real number in that interval. Adding an interval that partially overlaps with currently tracked numbers should add any numbers in the interval `[left, right)` that are not already tracked.
* * `boolean queryRange(int left, int right)` Returns `true` if every real number in the interval `[left, right)` is currently being tracked, and `false` otherwise.
* * `void removeRange(int left, int right)` Stops tracking every real number currently being tracked in the **half-open interval** `[left, right)`.
*
* **Example 1:**
*
* **Input**
*
* ["RangeModule", "addRange", "removeRange", "queryRange", "queryRange", "queryRange"]
*
* [ [], [10, 20], [14, 16], [10, 14], [13, 15], [16, 17]]
*
* **Output:** [null, null, null, true, false, true]
*
* **Explanation:**
*
* RangeModule rangeModule = new RangeModule();
* rangeModule.addRange(10, 20);
* rangeModule.removeRange(14, 16);
* rangeModule.queryRange(10, 14); // return True,(Every number in [10, 14) is being tracked)
* rangeModule.queryRange(13, 15); // return False,(Numbers like 14, 14.03, 14.17 in [13, 15) are not being tracked)
* rangeModule.queryRange(16, 17); // return True, (The number 16 in [16, 17) is still being tracked, despite the remove operation)
*
* **Constraints:**
*
* * 1 <= left < right <= 109
* * At most 104
calls will be made to `addRange`, `queryRange`, and `removeRange`.
**/
public class RangeModule {
private final Interval head;
public RangeModule() {
head = new Interval(0, 0);
}
public void addRange(int left, int right) {
Interval pos = head;
while (pos.next != null && pos.next.end < left) {
pos = pos.next;
}
while (pos.next != null && pos.next.start <= right) {
left = Math.min(pos.next.start, left);
right = Math.max(pos.next.end, right);
removeNext(pos);
}
insert(pos, new Interval(left, right));
}
public boolean queryRange(int left, int right) {
Interval pos = head;
while (pos != null) {
if (left >= pos.start && right <= pos.end) {
return true;
}
pos = pos.next;
}
return false;
}
public void removeRange(int left, int right) {
Interval pos = head;
while (pos.next != null && pos.next.end <= left) {
pos = pos.next;
}
Interval prev = pos;
Interval curr = pos.next;
while (curr != null && curr.start < right) {
if (curr.start < left) {
insert(prev, new Interval(curr.start, left));
curr.start = left;
prev = prev.next;
curr = prev.next;
continue;
}
if (right >= curr.end) {
removeNext(prev);
curr = prev.next;
} else {
curr.start = right;
curr = curr.next;
}
}
}
private void insert(Interval curr, Interval next) {
next.next = curr.next;
curr.next = next;
}
private void removeNext(Interval curr) {
Interval del = curr.next;
if (del != null) {
curr.next = del.next;
del.next = null;
}
}
static class Interval {
int start;
int end;
Interval next;
public Interval(int l, int r) {
start = l;
end = r;
}
}
}
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